Robustness of the non-Markovian Alzheimer walk under stochastic perturbation

Autor(es)

Cressoni, J. C. ^{[1, 2]} ; da Silva, L. R. ^[3] ; Viswanathan, G. M. ^{[3, 1]} ; da Silva, M. A. A. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, AL - Brazil

^[2] Univ Sao Paulo, Dept Quim & Fis, FCFRP, BR-14040903 Ribeirao Preto, SP - Brazil

^[3] Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59078900 Natal, RN - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EPL; v. 100, n. 6 DEC 2012.
• Citações Web of Science: 0

Resumo

The elephant walk model originally proposed by Schutz and Trimper to investigate non-Markovian processes led to the investigation of a series of other random-walk models. Of these, the best known is the Alzheimer walk model, because it was the first model shown to have amnestically induced persistence-i.e. superdiffusion caused by loss of memory. Here we study the robustness of the Alzheimer walk by adding a memoryless stochastic perturbation. Surprisingly, the solution of the perturbed model can be formally reduced to the solutions of the unperturbed model. Specifically, we give an exact solution of the perturbed model by finding a surjective mapping to the unperturbed model. Copyright (C) EPLA, 2012 (AU)

• Processo FAPESP: 11/06757-0 - Processos difusivos: caminhantes aleatórios com memória
• Beneficiário: Marco Antonio Alves da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/13685-6 - Modelagem analítica e computacional de sistemas difusivos
• Beneficiário: Marco Antonio Alves da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil